On entropy production of repeated quantum measurements I. General theory

TL;DR

This paper develops a thermodynamic formalism for entropy production in repeated quantum measurements, establishing large deviation principles and fluctuation theorems under chaoticity assumptions, advancing understanding of irreversibility in quantum processes.

Contribution

It introduces a dynamical system approach to quantify entropy production in quantum measurements and proves key statistical properties like large deviations and fluctuation theorems.

Findings

Established a Large Deviation Principle for entropy production.

Proved a Fluctuation Theorem under chaoticity assumptions.

Provided a formal framework linking quantum measurements and thermodynamics.

Abstract

We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility related to the hypothesis testing of the arrow of time. Under a suitable chaoticity assumption, we establish a Large Deviation Principle and a Fluctuation Theorem for the EP.